Search a number
-
+
134251563000 = 2335355578053
BaseRepresentation
bin111110100001000000…
…1000100011111111000
3110211112020000000122010
41331002001010133320
54144421400004000
6141401352525520
712461610312522
oct1750201043770
9424466000563
10134251563000
1151a32564365
12220286b08a0
13c876965199
1466d7dc4a12
15375b22ad50
hex1f420447f8

134251563000 has 128 divisors (see below), whose sum is σ = 418992275520. Its totient is φ = 35789529600.

The previous prime is 134251562993. The next prime is 134251563007. The reversal of 134251563000 is 365152431.

It is an interprime number because it is at equal distance from previous prime (134251562993) and next prime (134251563007).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134251563007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16666974 + ... + 16675026.

Almost surely, 2134251563000 is an apocalyptic number.

134251563000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134251563000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209496137760).

134251563000 is an abundant number, since it is smaller than the sum of its proper divisors (284740712520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134251563000 is a wasteful number, since it uses less digits than its factorization.

134251563000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13634 (or 13620 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 134251563000 in words is "one hundred thirty-four billion, two hundred fifty-one million, five hundred sixty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5557 8053 11114 16106 16671 22228 24159 27785 32212 33342 40265 44456 48318 55570 64424 66684 80530 83355 96636 111140 120795 133368 138925 161060 166710 193272 201325 222280 241590 277850 322120 333420 402650 416775 483180 555700 603975 666840 694625 805300 833550 966360 1006625 1111400 1207950 1389250 1610600 1667100 2013250 2083875 2415900 2778500 3019875 3334200 4026500 4167750 4831800 5557000 6039750 8053000 8335500 12079500 16671000 24159000 44750521 89501042 134251563 179002084 223752605 268503126 358004168 447505210 537006252 671257815 895010420 1074012504 1118763025 1342515630 1790020840 2237526050 2685031260 3356289075 4475052100 5370062520 5593815125 6712578150 8950104200 11187630250 13425156300 16781445375 22375260500 26850312600 33562890750 44750521000 67125781500 134251563000